The number 67024
67024 is a composite number with 20 divisors. Its prime factorisation is × 59 × 71. Divisors (20): 1, 2, 4, 8, 16, 59, 71, 118, 142, 236, 284, 472, 568, 944, 1136, 4189 … 67024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67024 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 67024 itself that is 66896, so 67024 is deficient (66896 is less than 67024). Euler's totient φ(67024) = 32480 numbers up to 67024 share no factor with it.
- 4
The digits of 67024 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67024 = 2^{4} \times 59 \times 71 \]67024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 32480 |
| Square | 4492216576 |
| Cube | 301086323789824 |
| Square root | 258.889938 (= 4√4189) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.7024 × |
67024 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and twenty-four |
| Binary (base 2) | 10000010111010000 |
| Octal (base 8) | 202720 |
| Hexadecimal (base 16) | 105D0 |
| Base 3 | 10101221101 |
| As time | 67024 seconds = 18 h 37 min 4 s |
Is 67024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67024 ÷ 2 = 33512) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67024 ÷ 4 = 16756) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (67024 ÷ 8 = 8378) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67024 a prime number?
No. 67024 = × 59 × 71, so it is divisible by 2.
What are the factors of 67024?
1, 2, 4, 8, 16, 59, 71, 118, 142, 236, 284, 472, 568, 944, 1136, 4189, 8378, 16756, 33512, 67024.
What is 67024 in binary?
10000010111010000 (hexadecimal 105D0, octal 202720).
What is the square root of 67024?
About 258.8899, exactly 4√4189.
Is 67024 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 67024?
It is a composite number with 20 divisors.